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Boletim da Sociedade Paranaense de Matemática
Article . 2025 . Peer-reviewed
License: CC BY
Data sources: Crossref
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Existence of solutions for fuzzy fractional differential equations under Caputo fractional derivatives approach

Authors: Khadija Elhakimy; Ali El Mfadel; Said Melliani;

Existence of solutions for fuzzy fractional differential equations under Caputo fractional derivatives approach

Abstract

This paper investigates the existence of solutions for a class of fuzzy differential equations with nonlocal derivatives. By utilizing an extended version of Krasnosel’skii’s fixed point theorem within the context of fuzzy metric spaces, we demonstrate that the problem has a fuzzy solution defined over a specified interval. The approach includes analyzing the corresponding integral problem to which the theorem is applied. The paper concludes with a discussion on potential physical applications.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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